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Math Help - Find the maximum and minimum points on the graph

  1. #1
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    Find the maximum and minimum points on the graph

    Find the maximum and minimum points on the graph of
    x^2 + 4y^2 - 2x - 16y + 13 = 0

    (a) Without using calculus
    (b) Using Calculus

    (although I'm okay if you just show me (b) using calculus..... please show how you got your answer
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  2. #2
    MHF Contributor
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    Re: Find the maximum and minimum points on the graph

    Hey asilvester635.

    For calculus, you differentiate once and twice and solve for dy/dx = 0 and then check the sign of d^2y/dx^2 to see if its positive or negative.

    Can you calculate the two derivatives (1st and 2nd) and solve for dy/dx = 0 and for those particular values of x (or (x,y) pairs), show what d^2y/dx^2 is for those values?
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  3. #3
    MHF Contributor MarkFL's Avatar
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    Re: Find the maximum and minimum points on the graph

    For part a), complete the square and write the ellipse in standard form.
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